| Inflations |
| Maximal quotient group Q number 1 | |||
| The kernel of the quotient map is generated by: g5 | |||
| Q is isomorphic to the Group of order 32 number 10 |
Generator of the cohomology of Q  Image under
inflation | |||
|
z
z +
y +
x +
w
| |||
|
y
y +
x
| |||
|
x
z +
y +
x
| |||
|
w
x
| |||
|
v
yx3
+
u
|
| The kernel of the inflation to G of the cohomology of Q is generated by: | |||
| z2 + zy + zx + yx |
| Maximal quotient group Q number 2 | |||
| The kernel of the quotient map is generated by: g6 | |||
| Q is isomorphic to the Group of order 32 number 8 |
|
Generator of the cohomology of Q Image under
inflation | |||
|
z
z
| |||
|
y
y
| |||
|
x
x
| |||
|
w
w
| |||
|
v
v
|
| The kernel of the inflation to G of the cohomology of Q is generated by: | |||
| z2 + y2 + yx | y2 x + yx2 | ||
| Maximal quotient group Q number 3 | |||
| The kernel of the quotient map is generated by: g5 g6 | |||
| Q is isomorphic to the Group of order 32 number 43 |
|
Generator of the cohomology of Q Image under
inflation | |||
|
z
y
| |||
|
y
z +
y +
x
| |||
|
x
y +
w
| |||
|
w
z
| |||
|
v
yx7
+
x4
v2
+
v4
+
u2
|
| The kernel of the inflation to G of the cohomology of Q is generated by: zy + zw + w2 |